What is the sum from n=0 to infinity of (-1)^n(2^n) ?

The sum from n=0 to infinity of (-1)^n(2^n) is diverges

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sum from n=0 to infinity of (-1)^n(2^n)

n = 0 \sum \infty (- 1)^{n} (2^{n})

diverges

Solution steps

n = 0 \sum \infty (- 1)^{n} \cdot 2^{n}

Apply Series Ratio Test:

diverges

= diverges

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What is the sum from n=0 to infinity of (-1)^n(2^n) ?
The sum from n=0 to infinity of (-1)^n(2^n) is diverges